SUBJECT: PHYSICS FOR ENGINEERS

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. A solid piece of lead has a mass of 23.94 g and a volume of 2.10 cm3. From these data, calculate the density of lead in SI units (kilograms per cubic meter). . Find the surface area of Earth in km2 if the diameter of the Earth is 12 740 km. If the surface area of the moon is 3.7915 x 107 km2, find the Moon's radius and compare it with the radius of the Earth. . One cubic meter (1.00 m3) of aluminum has a mass of 2.70 x 103 kg, and the same volume of iron has a mass of 7.86 x 103 kg. Find the radius of a solid aluminum sphere that will balance a solid iron sphere of radius 2.00 cm on an equal-arm balance. . The distance to the Earth's closest star, the Alpha Centauri binary star system is 1. 339 parsecs. Calculate the distance in Light years and in kilometers. (1 parsec = 3.26 Light Years) . One gallon of paint (volume = 3.78 x 10-3 m3) covers an area of 25.0 m2. What is the thickness of the fresh paint on the wall? . An ingot of gold size of a lead brick (10.0 cm x 20.0 cm x 5.0 cm) has a mass of 19.32 kg. Find the density of the gold in g/cm3. . In problem 6, if we replace gold with lead and the density of lead is 0.01134 kg/cm3; nd the mass of the leas brick in grams. 8. The tropical year, the time interval from one vernal equinox to the next vernal equinox. is the basis for our calendar. It contains 365.242 199 days. Find the number of seconds in a tropical year 9. The average density of the planet Uranus is 1.27 x 103 kg/m3. The ratio of the mass of Neptune to that of Uranus is 1.19. The ratio of the radius of Neptune to that of Uranus is 0.969. Find the average density of Neptune. 10.The mass of a proton is about 1.007276 p. Convert this number into grams and picograms. The radius of a proton is about 1 fm, Calculate the density of the proton in g/cm3 11.Scientists believe that continental drift in the Atlantic Ocean happens at the rate of about 1 to 2 cm/year. Convert this rate into nm/s. 12.A cell of baker's yeast is typically 4.0 mm in diameter. (Assume that the cells are spherical, although they have a variety of shapes.) If you had 18 mL of yeast (i.e., about one tablespoon), about how many cells would it contain? 13.An electron microscope indicates that a rectangular object has dimensions of 2.50 mm by 4.75 mm. What is the area of this object in m2, expressed in scientific notation? 14.The active area of the A8 processor found in some Apple smartphones has the equivalent of about 2.0 billion transistors (the transistor is a semiconductor device that controls electronic processes). The dimensions of the integrated circuit chip are approximately 9.3 mm x 9.6 mm. What are the dimensions of one transistor on the integrated circuit, assuming all of the area is transistors, and each is a square? 15.Volunteers are searching a wooded area for a piece of forensic evidence. It is estimated that searchers should use a grid with a separation no larger than 4.0 m between searchers and that the searchers average a walking speed of 0.25 m/s. How long would it take a search party of 10 people to search an area of 1 kmz